Framelet analysis of some geometrical illusions

Hitoshi Arai; Shinobu Arai

doi:10.1007/s13160-010-0009-6

Framelet analysis of some geometrical illusions

Hitoshi Arai^*, Shinobu Arai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper we study a spiral illusion generated by fractal islands. Furthermore, by a neuro-scientific consideration we present a new class of geometrical illusions. In order to analyse these illusions, we propose a new mathematical method.

Original language	English
Pages (from-to)	23-46
Number of pages	24
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s13160-010-0009-6
Publication status	Published - 2010 Jun
Externally published	Yes

Keywords

Extrastriate visual cortex
Framelet
Geometrical illusion
Wavelet frame

ASJC Scopus subject areas

Engineering(all)
Applied Mathematics

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10.1007/s13160-010-0009-6

Cite this

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title = "Framelet analysis of some geometrical illusions",

abstract = "In this paper we study a spiral illusion generated by fractal islands. Furthermore, by a neuro-scientific consideration we present a new class of geometrical illusions. In order to analyse these illusions, we propose a new mathematical method.",

keywords = "Extrastriate visual cortex, Framelet, Geometrical illusion, Wavelet frame",

author = "Hitoshi Arai and Shinobu Arai",

year = "2010",

month = jun,

doi = "10.1007/s13160-010-0009-6",

language = "English",

volume = "27",

pages = "23--46",

journal = "Japan Journal of Industrial and Applied Mathematics",

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T1 - Framelet analysis of some geometrical illusions

AU - Arai, Hitoshi

AU - Arai, Shinobu

PY - 2010/6

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N2 - In this paper we study a spiral illusion generated by fractal islands. Furthermore, by a neuro-scientific consideration we present a new class of geometrical illusions. In order to analyse these illusions, we propose a new mathematical method.

AB - In this paper we study a spiral illusion generated by fractal islands. Furthermore, by a neuro-scientific consideration we present a new class of geometrical illusions. In order to analyse these illusions, we propose a new mathematical method.

KW - Extrastriate visual cortex

KW - Framelet

KW - Geometrical illusion

KW - Wavelet frame

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U2 - 10.1007/s13160-010-0009-6

DO - 10.1007/s13160-010-0009-6

M3 - Article

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SN - 0916-7005

VL - 27

SP - 23

EP - 46

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

IS - 1

ER -

Framelet analysis of some geometrical illusions

Abstract

Keywords

ASJC Scopus subject areas

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